# Angles Teaching Resources

Explore angles worksheets, hands-on activities, games and more resources created by teachers for your lesson plans!

This collection of maths resources for primary school teachers is aligned with the Australian Maths Curriculum, and it's been stocked with everything you will need to teach students how to identify the different types of angles, measure real-life examples, determine the measure of an unknown angle and more!

Lay the groundwork for your students' understanding of geometry and spatial relationships with resources that have undergone a careful review by the maths teachers on the Teach Starter team to ensure they're ready for your lesson plans and your students!

New to teaching this portion of the maths curriculum? Or maybe you're just looking for fresh ways to engage your students on the topic? Read on for a primer from our teacher team, including a kid-friendly definition and a look at different types of angles and angle pairs from right to acute, complementary to adjacent and so on.

## What Are Angles? A Kid-Friendly Definition

If you're introducing angles for the first time, it can be helpful to have a kid-friendly definition on hand to start the lesson. Here's one that our teacher team likes to use!

Shapes are made up of lines and corners, or what we call vertices. Angles are the measure of those corners or vertex points.

## What Are the Different Types of Angles and Their Functions?

Depending on the year level you're teaching, we know the types of angles you will be talking about in your classroom will likely differ. That said, here's a quick reminder of the various types of angles, along with a look at their functions, to use as a refresher.

### 1. Right Angle

Right angles measure exactly 90 degrees and look like the corners of a square. They're found in shapes such as squares and rectangles, and they're typically the first angle kids learn about in primary school.

Right angles create stability in structures and ensure that objects fit together properly. They also help determine directions, so they play into map skills and navigation.

### 2. Acute Angle

An acute angle is one that measures less than 90 degrees but more than 0 degrees. Found all around us — from the corners in triangles to the hands of the classroom clock when it shows a time earlier than 3:00 — acute angles appear in designs and constructions anywhere a sharp or narrow corner is needed.

These angles are typically used to describe relationships in triangles and other geometric shapes.

### 3. Obtuse Angle

An obtuse angle measures more than 90 degrees but less than 180 degrees. This angle type can also be spotted in the classroom clock hands, but it appears when the time is after 3:00. Obtuse angles are also found in the shapes of many irregular polygons.

Obtuse angles can describe the bending or opening of objects, and they're used in design to create open space.

### 4. Straight Angle

Students are often surprised to find out that a straight line is a type of angle! Named a 'straight angle,' it measures exactly 180 degrees.

Understanding straight angles is fundamental to understanding the relationships between lines and their directions.

### 5. Reflex Angle

When you have an angle that measures more than 180 degrees but less than 360 degrees, it's called a reflex angle.

Reflex angles often appear in situations where bending or curving is important.

## Types of Angle Pairs

In addition to the types of individual angles, there are also a host of angle pairs that have a special relationship with one another.

### 1. Adjacent Angles

When you have two angles that share a common vertex and a common side but do not overlap, they're known as adjacent angles.

### 2. Vertical Angles

Vertical angles are pairs of angles that are opposite when two lines intersect. They are always congruent, which means they have the same measure.

Upper years students who are ready to learn about the properties of angles formed by intersecting lines tend to start by learning about this angle type.

They'll find these angle pairs in the letter X and at some street intersections. Learning about them will form the basis for understanding angles formed by transversals.

### 3. Complementary Angles

When a pair of angles add up to 90 degrees, they're called complementary angles. These types of angles can be adjacent or non-adjacent.

These angles can also be found right in the classroom on your clock. They're the angles created between the minute and hour hands of a clock when they add up to 90 degrees.

### 4. Supplementary Angles

Supplementary angles combine to form a straight line. This angle pair represents two angles that add up to 180 degrees when put together.

Two sets of right angles can be supplementary as their sum is 180 degrees (90 + 90 =180), and a set of obtuse and acute angles can also be supplementary.

### 5. Corresponding Angles

Corresponding angles are in the same relative position on the two parallel lines and the transversal. They have equal measures.

Corresponding angles are found when a transversal intersects two parallel lines, such as in a fence or many different architectural structures.

### 6. Alternate Interior Angles

Angles that are on opposite sides of the transversal and inside the parallel lines are called alternate interior angles. They have equal measures.

### 7. Alternate Exterior Angles

Angles found on opposite sides of the transversal and outside the parallel lines are known as alternate exterior angles. Like alternate interior angles, these also have equal measures.

Like corresponding angles, alternate interior angles and alternate exterior angles can both be found when a transversal intersects two parallel lines.

### 8. Linear Pair

A linear pair is a set of two adjacent angles that is formed when two lines intersect each other at a single point.

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### Christmas Colouring By Number - 2D and 3D Shapes Worksheet

Practise classifying 2D and 3D shapes with a printable Christmas colouring-by-number worksheet.

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### Types of Angles Teaching Slides

Teach your students about the six main angle types with this teaching presentation perfect for primary school maths lessons.

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### Measuring Angles – Year 5 Maths Worksheet

Practise measuring angles using a 180 degree protractor with this set of three worksheets.

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### Christmas Maths - Properties of Shapes Task Cards

Combine Christmas and maths with these 2D and 3D Shape Christmas Maths Activity Task Cards for Year 4.

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### Angles in Our Environment Interactive Game

Bring an extra dimension of fun into your Year 3 maths classroom with an interactive game exploring angles in the environment.

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### Identifying and Naming Angles – Cut-and-Paste Worksheet

Identify acute, right, obtuse, straight, reflex and revolution angles with this cut-and-paste sorting worksheet.

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### Angles in the Environment Worksheet

Help your students identify acute, right and obtuse angles in the environment with this differentiated worksheet.

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### Geometric Reasoning Worksheets - Year 3

2 geometric reasoning worksheets linked to the Australian Curriculum.

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### Types of Angles Poster Pack

Remind your students about the most common types of angles with this set of six classroom posters.

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### Missing Angles – Year 6 Maths Worksheet

Download this missing angles worksheet to get your students calculating missing angles on right and straight angles.

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### Angles Maths Investigation – Design a Room

Turn your students into interior designers with this inquiry-based maths project based on drawing and measuring angles.

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### Measuring Angles – Mystery Picture Worksheet

Find the measure of each angle and use the colour guide to reveal a mystery picture with this worksheet designed for year 5 students.

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### Monster Right Angle Finder Template

Help your students identify right angles in the environment with this monster-inspired right angle finder.

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### Geometric Reasoning Worksheets - Year 4

2 geometric reasoning worksheets linked to the Australian Curriculum.

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### Geometric Reasoning Worksheets - Year 5

4 geometric reasoning worksheets linked to the Australian Curriculum.

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### Mini-Mystery – Which Key Opens the Door?

Use knowledge of 2-D shapes and right angles to solve the mystery in this fun, logic-based activity.

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### Measuring Angles in Images Worksheets

Get your students using their protractors to measure acute, obtuse, right, straight and reflex angles with this set of differentiated angles worksheets.

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### Classifying Angles – Sorting Activity

Help students recognise different types of angles in everyday life with this hands-on sorting activity.

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### Directions with Right Angle Turns Worksheet

Teach your students to give and follow directions using right angles with this 2-page maths worksheet for Year 3 students.

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### Angles at a Point – Year 6 Maths Worksheet

Identify and calculate angles at a point with this one-page maths worksheet.

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### Comparing and Naming Angles – Differentiated Worksheets

Assess your students’ understanding of angle types with the set of differentiated student worksheets.

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### Printable Protractor Templates

Teach your students how to measure angles using a protractor with these 180° and 360° printable protractor templates.

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### Angles in Our Environment Teaching Slides

Explore angles in the environment using this comprehensive teaching presentation for Year 3 students.

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### A World Without Right Angles – Worksheet

Help your students explore the vital role that right angles play in our environment with this differentiated maths worksheet.

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### Drawing Angles – Year 5 Maths Worksheet

Practise drawing angles using a 180 degree protractor with this set of three worksheets.

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### Colour by Missing Angles Worksheets

Get students to find the size of missing angles on right angles, straight angles and angles at a point with this maths worksheet with a difference!

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### Angle Word Problems – Worksheet

Download these angles word problem worksheets so your students can practise calculating missing angles.

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### Angles Bingo

Generate excitement about angles in your classroom by playing this whole-class types of angles bingo game.

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### Angle Hunt – Interactive Maths Game

Review the six main angle types (acute, right, obtuse, straight, reflex and revolution) with an interactive digital learning activity.

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### Printable Angle Maker Template

Create and classify some angles with this hands-on printable that is super fun to use.

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### Acute, Right and Obtuse Angles – Cut and Paste Worksheet

Identify acute, right and obtuse angles with this cut-and-paste sorting worksheet.

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### Right Angle Turn Patterns Worksheet

Teach your students to make shape patterns using right angle turns with this differentiated maths worksheet for Year 3 students.